N2(2023)

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homepage: http://www.applied-business-solutions.eu
Type: Article
Title: Studying the Recurrent Sequence Generated by Power Function using QUATTRO-20 PDF Article
Author: Jelena Kozmina
Orcid: https://orcid.org/0009-0005-5075-5190
Author: Alytis Gruodis
Orcid: https://orcid.org/0009-0008-2989-3283
On-line: 30-December-2023
Metrics: Applied Business: Issues & Solutions 2(2023)28-36 – ISSN 2783-6967.
DOI: 10.57005/ab.2023.2.4
URL: http://www.applied-business-solutions.eu/h23/2023_2_4.html
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Abstract. We presented the bifurcational diagram of power function Fi(x) = r·x·(1 – x^2) which could be treated as first approximation of trigonometric function F(x) = r·x·cos x. Using second composite Fi^2(x) in analytical form and solving 8-th degree polynomial equation bifurcational diagram with period doubling 1, 2, 4 was obtained and attractors were established. Analytical solutions of expressions x = Fi^2(x) allows us to establish the fixed point attractors and periodic attractors in interval (-V5,V5). Bifurcation diagram obtained analytically was compared with its aproximate analogue Finite State diagram.
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JEL: C25.
Keywords: recurrent sequence; power function; fixed point attractor; periodic attractor; Finite State Diagram; Bifurcation diagram; index of Lyapunov exponent; CobWeb plot.
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Citation: Jelena Kozmina, Alytis Gruodis (2023) Studying the Recurrent Sequence Generated by Power Function using QUATTRO-20. – Applied Business: Issues & Solutions 2(2023)28–36 – ISSN 2783-6967.
https://doi.org/10.57005/ab.2023.2.4
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